Published by:
CGP EDU Academic Team
Published on: August 13, 2026
For which of the following graphs of the quadratic expression, y = ax 2 + bx + c, the product abc is negative-
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b, c, d)
a < 0, 
> 0, 
> 0
a < 0, b < 0, c < 0
a × b × c = (–) × (–) × (–) = (–) ive
Roots have opposite sign and (+) ive root, greater in magnitude
a < 0, – 
> 0 , 
< 0
a < 0, b > 0, c > 0
abc = (+) (–) (+) = (–) ive
a > 0, f(0) > 0, – 
> 0
a > 0, c > 0, b < 0
abc = (+) (+) (–) = (–) ive.
a < 0, f(0) > 0, – 
> 0
a < 0, c > 0, b > 0
abc = (–) (+) (+) = (–) ive.
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